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Finding the Fourth Proportional to 1,108.82, 1,530.16 and 611.46

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Solution

The fourth proportional to 1,108.82, 1,530.16 and 611.46 is: 843.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.82 : 1,530.16 = 611.46 : x
  2. Step 2: Convert to fraction form
    1,108.82/1,530.16 = 611.46/x
  3. Step 3: Cross multiply
    1,108.82x = 1,530.16 × 611.46
  4. Step 4: Simplify right side
    1,108.82x = 935,630.10
  5. Step 5: Solve for x
    x = 935,630.10/1,108.82
  6. Step 6: Final answer
    x = 843.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.